If x and y are both integers, then we have the following possibilities,
10/6 (= 5/3), 10/7, 11/6, 11/7, 12/6 ( = 2), 12/7 - so, there are 6 distinct possible answers.
If x and y are both real numbers that satisfy the given inequalities for each of them, then we have an infinite number of possible answers.